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Finding the Fourth Proportional to 136,885.13, 188,897.64 and 76,454

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Solution

The fourth proportional to 136,885.13, 188,897.64 and 76,454 is: 105,504.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,885.13 : 188,897.64 = 76,454 : x
  2. Step 2: Convert to fraction form
    136,885.13/188,897.64 = 76,454/x
  3. Step 3: Cross multiply
    136,885.13x = 188,897.64 × 76,454
  4. Step 4: Simplify right side
    136,885.13x = 14,441,980,168.56
  5. Step 5: Solve for x
    x = 14,441,980,168.56/136,885.13
  6. Step 6: Final answer
    x = 105,504.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.